A Mathematical Model of HIV Infection with Cellular and Immune Delays

Authors

Nicoleta E. Tarfulea, Department of Mathematics, Purdue University Northwest, Hammond Indiana, 46323, USAFollow

Author Country (or Countries)

USA

Abstract

We propose an infection age HIV model that considers virus-to-cell and cell-to-cell infections and immune response. This new and more complex model combines and extends the models proposed in [4,9]. We prove that the solution to the associated initialvalue problem is positive and bounded from above. Furthermore, we analyze the stability of the infection-free equilibrium.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120503

Recommended Citation

E. Tarfulea, Nicoleta (2018) "A Mathematical Model of HIV Infection with Cellular and Immune Delays," Applied Mathematics & Information Sciences: Vol. 12: Iss. 5, Article 3.
DOI: http://dx.doi.org/10.18576/amis/120503
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss5/3